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KCET2021MathematicsApplication of Derivatives

A particle starts form rest and its angular displacement (in radians) is given by = t² 20 + t 5 . If the angular velocity at the end of t=4 is k , then the value of 5 k is

Options

  1. A0.6
  2. B5
  3. C5 k
  4. D3

Correct answer

D. 3

Step-by-step solution

= t² 20 + t 5 On differentiating w.r.t. t , aligned d d t &= t 10 + 1 5 ( d d t )_ t=4 &= 4 10 + 1 5 aligned aligned & k &= 3 5 & & 5 k &=3 aligned

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